151517990400 has 480 divisors, whose sum is σ = 575977087488. Its totient is φ = 34394112000.

The previous prime is 151517990347. The next prime is 151517990417. The reversal of 151517990400 is 4099715151.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40586934 + ... + 40590666.

Almost surely, 2^151517990400 is an apocalyptic number.

151517990400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151517990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287988543744).

151517990400 is an abundant number, since it is smaller than the sum of its proper divisors (424459097088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

151517990400 is a wasteful number, since it uses less digits than its factorization.

151517990400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3922 (or 3901 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 42.

The spelling of 151517990400 in words is "one hundred fifty-one billion, five hundred seventeen million, nine hundred ninety thousand, four hundred".